111132998000640 has 4032 divisors, whose sum is σ = 509188789242432. Its totient is φ = 22156620595200.

The previous prime is 111132998000639. The next prime is 111132998000663. The reversal of 111132998000640 is 46000899231111.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×111132998000640² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 642387271594 + ... + 642387271766.

Almost surely, 2^{111132998000640} is an apocalyptic number.

111132998000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111132998000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254594394621216).

111132998000640 is an abundant number, since it is smaller than the sum of its proper divisors (398055791241792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111132998000640 is a wasteful number, since it uses less digits than its factorization.

111132998000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 111132998000640 in words is "one hundred eleven trillion, one hundred thirty-two billion, nine hundred ninety-eight million, six hundred forty", and thus it is an aban number.